What is the derivative of 9(3x+5^2) ?

The derivative of 9(3x+5^2) is 54(3x+5)

What is the first derivative of 9(3x+5^2) ?

The first derivative of 9(3x+5^2) is 54(3x+5)

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\frac{d}{d x} (9 (3 x + 5)^{2})

54 (3 x + 5)

Solution steps

\frac{d}{d x} (9 (3 x + 5)^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{d}{d x} ((3 x + 5)^{2})

Apply the chain rule:

2 (3 x + 5) \frac{d}{d x} (3 x + 5)

= 2 (3 x + 5) \frac{d}{d x} (3 x + 5)

\frac{d}{d x} (3 x + 5) = 3

= 9 \cdot 2 (3 x + 5) \cdot 3

Simplify

= 54 (3 x + 5)

(x, y) \to (0, 3) lim (x^{3} y)

((x^{3})^{2})^{2}

\frac{\partial}{\partial x} (\frac{1}{y - 1})

\int e^{2 x} \cdot 2 x d x

\frac{d}{d x} (\frac{( x + 3 ) ( x ^{2} - 3 x + 9 )}{x ^{3}})

What is the derivative of 9(3x+5^2) ?
The derivative of 9(3x+5^2) is 54(3x+5)
What is the first derivative of 9(3x+5^2) ?
The first derivative of 9(3x+5^2) is 54(3x+5)